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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 71 · 40 questions
TalentJR

The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.

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  1. 1.A garden is 39 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.A triangle has a base of 10 cm and a height of 6 cm. What is its area (in sq cm)?
  3. 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  4. 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  6. 6.A rectangular field is 11 m long and 4 m wide. What is its area (in sq m)?
  7. 7.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.A rectangular field is 30 m long and 29 m wide. What is its area (in sq m)?
  9. 9.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  10. 10.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A park is 21 m long and 17 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A triangle has a base of 10 cm and a height of 12 cm. What is its area (in sq cm)?
  13. 13.A garden is 13 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  14. 14.A garden is 31 m long and 30 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A garden is 37 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  16. 16.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  17. 17.A triangle has a base of 30 cm and a height of 6 cm. What is its area (in sq cm)?
  18. 18.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  19. 19.A garden is 32 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  20. 20.A rectangle has an area of 999 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  21. 21.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
  23. 23.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  25. 25.A triangle has a base of 6 cm and a height of 20 cm. What is its area (in sq cm)?
  26. 26.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  27. 27.A triangle has a base of 4 cm and a height of 17 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  29. 29.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  30. 30.A park is 35 m long and 16 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A garden is 23 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  32. 32.A triangle has a base of 30 cm and a height of 19 cm. What is its area (in sq cm)?
  33. 33.A triangle has a base of 26 cm and a height of 24 cm. What is its area (in sq cm)?
  34. 34.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  35. 35.A garden is 23 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  36. 36.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
  37. 37.A park is 60 m long and 10 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A triangle has a base of 21 cm and a height of 8 cm. What is its area (in sq cm)?
  39. 39.A rectangle has an area of 340 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  40. 40.A triangle has a base of 14 cm and a height of 16 cm. What is its area (in sq cm)?

Answer key

  1. 192
  2. 30
  3. 154
  4. 32
  5. 441
  6. 44
  7. 264
  8. 870
  9. 616
  10. 220
  11. 1292
  12. 60
  13. 112
  14. 402
  15. 330
  16. 132
  17. 90
  18. 529
  19. 300
  20. 128
  21. 34
  22. 60
  23. 88
  24. 48
  25. 60
  26. 2464
  27. 34
  28. 18
  29. 44
  30. 3570
  31. 80
  32. 285
  33. 312
  34. 220
  35. 132
  36. 70
  37. 4620
  38. 84
  39. 88
  40. 112

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